{
  "id": "0902.1963",
  "version": "v1",
  "published": "2009-02-11T19:06:09.000Z",
  "updated": "2009-02-11T19:06:09.000Z",
  "title": "On the Lie algebras of surface pure braid groups",
  "authors": [
    "B. Enriquez",
    "V. V. Vershinin"
  ],
  "comment": "5 pages",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "We consider the Lie algebra associated with the descending central series filtration of the pure braid group of a closed surface of arbitrary genus. R. Bezrukavnikov gave a presentation of this Lie algebra over the rational numbers. We show that his presentation remains true for this Lie algebra itself, i.e. over integers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-11T19:06:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36"
    ],
    "keywords": [
      "surface pure braid groups",
      "lie algebra",
      "descending central series filtration",
      "presentation remains true",
      "arbitrary genus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.1963E"
    }
  }
}